Now we use two of the equations ((Reference) and (Reference))
that we found in the discussion about MOS Regimes to calculate a set of
Vdsat
Vdsat
and
Idsat
Idsat
values for various value of
Vgs
Vgs
. (Note that
Vgs
Vgs
must be greater than
VT
VT
for the two equations to be valid.)
When we get the numbers, we build a little table.
Once we have the numbers, then we
sketch a piece of graph paper with the proper scale, and plot the points on it. Once the
Idsat
Idsat
,
Vdsat
Vdsat
points have been determined, it is
easy to sketch in the I-V behavior. You just draw a curve from
the origin up to any given point, having it "peak out" just at
the dot, and then draw a straight line at
Idsat
Idsat
to finish things off. One such curve
is shown in Figure 3. And then finally in Figure 4 they are all sketched in. Your curves probably
wont be exactly right but they will be good enough for a lot of
applications.
There is a particularly easy way to measure by
kk and
VT
VT
for a MOSFET. Let's first introduce
the schematic symbol for the MOSFET, it looks like Figure 5. Let's take a MOSFET and hook it up as shown in
Figure 6.
Since the gate of this transistor is connected to the drain,
there is no doubt that
V
gs
-
V
ds
V
gs
V
ds
is less than
VT
VT
. In fact, since
V
gs
=
V
ds
V
gs
V
ds
, their difference, is zero. Thus, for any value of
Vds
Vds
, this transistor is operating in its
saturated condition. Since
V
gs
=
V
ds
V
gs
V
ds
, we can rewrite a previous equation derived equation from
the section on MOS transistor as
I
d
=k2
V
ds
-
V
T
2
I
d
k
2
V
ds
V
T
2
(1)
Now let's take the square root of both sides:
I
d
=k2
V
ds
-
V
T
I
d
k
2
V
ds
V
T
(2)
So if we make a plot of
I
d
I
d
as a function of
Vds
Vds
, we should get a straight line, with a
slope of
k2
k
2
and an x-intercept of
VT
VT
.
Because of the expected non-ideality, the curve does not go all
the way to VT
VT
, but deviates a bit near the bottom. A
simple linear extrapolation of the straight part of the plot
however, yields an unambiguous value for the threshold voltage
VT
VT
.
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